A. When we are designing the sound levels to ensure a clear reception by a human ear, we often express the sound intensity in a unit called dB. The intensity level in dB of a sound wave can be found...

Extracted text: A. When we are designing the sound levels to ensure a clear reception by a human ear, we often express the sound intensity in a unit called dB. The intensity level in dB of a sound wave can be found by converting the sound intensity produced by the speakers, I, expressed in Watts/m², using the formula: B(dB) = 10log10; Where: B is the sound intensity level in dB. I is the sound wave intensity in W/m?. Io is a constant representing the intensity threshold of hearing, which is the lowest intensity a human can hear with his/her ears. A sound source, or a speaker, produces a wave with intensity I, which varies with respect to time as given below: 1 = 3+2 cos(4t – n) W/m². Knowing that I, = 1 x 10-12 W/m²: 1. Find a formula for the rate of change of ß with respect to time. [Hint: use the chain rule] 2. Find the value of the rate of change of ß with respect to time at t = 1 sec. B. The speed [v] of the sound wave travelling across the stadium is found to have the following equation: = x² Where: 0 <>< 3.5="" x="" is="" the="" distance="" travelled="" across="" the="" stadium="" in="" 100="" meter="" units="" [="" x="1," means="" a="" distance="" of="" 100="" meters,="" x="2" a="" distance="" of="" 200="" meters,="" and="" so="" on],="" evaluate:="" 1.="" the="" stationary="" points="" of="" the="" velocity="" function="" for="" the="" range="" 0="">< 3.5.="" 2.="" define="" which="" stationary="" point="" represents="" a="" maximum="" velocity,="" a="" minimum="" velocity,="" and="" an="" inflexion="" point="" in="" the="" velocity="" within="" the="" specified="" period.="" use="" higher="" order="" derivatives="" test="" for="" finding="" these="" points="" and="" show="" your="" solution="">


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